Analysis III

• Elements of measure theory.- Integration theory.- Manifolds and differential forms.- Integration on manifolds.

From the reviews: "This third volume contains an introduction to Bochner-Lebesgue integral theory and differential forms' calculus on smooth manifolds. ... The text is clear and understandable and yet it provides a very detailed presentation of the covered topics from an advanced and abstract point of view. The reader can easily develop deep intuitive ideas following the numerous examples, exercises and pictures that are included." (Tihomir Gyulov, Zentralblatt MATH, Vol. 1187, 2010)